When you want to find a percent of a number you do this:
given number/ 1 multiplied by percentage/100
so in this question its a multiple step
start with finding 25 percent of 4250 which is= 1062.5
so thats how much the discount is so the amount after the 25% discount is:
4250-1062.5= 3187.5
then you have to add 9% due to fees
so you find 9% of 3187.5 which is= 286.875
so you add 286.875 to 3187.5 gives you= 3437.375 in total cost for the vacation package
The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.
Step-by-step explanation:
The given is,
Compounds money quarterly
Double your money in 10 years
Step:1
Formula to calculate future investment with compounded quarterly,
...............................(1)
Where, A - Future amount
P - Initial investment\
r - Rate of interest
n - No. of compounding in a year
t - No. of years
Step:2
Let, P = X
A = 2X ( Double your money )
From given, n - 4 ( for compounding quarterly )
t - 10 years
From equation (1)
Take root root on both side,
r = 6.992 %
Result:
The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.
Answer:
x = 2
Step-by-step explanation:
-4/5(-8x + 6) = 1 + 7 (distribute first)
6.4x -4.8 = 8 (add 4.8 on both sides)
6.4x = 12.8 (divide by 6.4)
x = 2
PLUG IN
-4/5(-8(2) + 6) = 1 + 7
-4/5(-16 + 6) = 8
-4/5(-10) = 8
8 = 8
Answer:
The answer is "294.2075".
Step-by-step explanation:
Given:
At confidence level the z is ,
Answer: or
Step-by-step explanation:
The volume of a cylinder can be found with the following formula:
Where "r" is the radius and "h" is the height of the cylinder.
In this case, let be:
- the volume of one of this cylinders and the volume of the other one.
- the radius of the first one and the radius of the other cylinder.
- the height of one of them and the height of the other cylinder.
Then:
Therefore, you know this:
Simplifying, you get:
Now, knowing the ratios given in the exercise, you can substitute them into the equation:
Evaluating, you get: